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Is xy < 6? (1) x < 3 and y < 2.

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Source: — Data Sufficiency |
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by 4GMAT_Mumbai » Sun Aug 22, 2010 9:06 am
Hi,

Statement 1:

x=2.75; y=1.75; xy < 6
x=-100; y=-200; xy > 6

Hence, insufficient

Statement 2:

Wonder why the OA says B.

x = 31.5; y = 2.3; xy > 6
x = 31.5; y = -2.3; xy < 6

Hence, insufficient.

Combine 1 & 2:

Having a problem here ... There is no valid value for x ...

1 says x < 3 and 2 says 21<x<32 ... If both of them have to be true, what can x be ...

Is there a problem with the question ... Thanks.
Naveenan Ramachandran
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by Gurpinder » Sun Aug 22, 2010 11:02 am
chocoswiss wrote:Is xy < 6?
(1) x < 3 and y < 2.
(2) 21< x <32 and y^2 < 6.

OA is B
I chose C. Pl help!
We are simply looking for the value of X and Y to determine whether xy < 6

(1) x < 3 and y < 2.

This one is clearly insufficient because X and Y could be negatives or small positives.
x = -3 and y = -3 in which case xy = 9
OR
x=2 and y=1 in which case xy = 2

(2) 21< x <32 and y^2 < 6.

This one is also insufficient.

X can be 22,23,24,25,26,27,28,29,30,31
and y can be +1,+2 OR -1,-2


Combining them, they are again insufficient. The values of X don't match within the 2 statements. (This question is flawed. The two statements are suppose to give you a consistent answer. And the values of Y can again by +1,+2 or -1,-2

Therefore (E).

This is not a good GMAT question!!!
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by ymach3 » Mon Aug 23, 2010 12:33 am
yaa, i think the OA is E...

(i) is in INSUFF as stated above...

From (ii)... Probable values for X are 22-31... and for y are -root(6) to root(6)..

when taken the product , i.e xy can be both negative and positive....

Hence (E)

Let me know if i did a blunder.
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by chocoswiss » Mon Aug 23, 2010 3:24 am
thanks all!
E does make sense
its from test code 14, maybe the person who supplied me with the answers got this one wrong.
i did it wrongly anyway so needed the explanation :)
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by cheryl3007 » Thu Dec 30, 2010 12:46 am
chocoswiss wrote:Is xy < 6?
(1) x < 3 and y < 2.
(2) 21< x <32 and y^2 < 6.

OA is B
I chose C. Pl help!

This is an incorrect version. From paper test, the 2nd statement should be: 1/2 < x < 2/3 and y^2 <6.
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by tomada » Thu Dec 30, 2010 12:17 pm
Thanks! 1/2 < x < 2/3 is actually feasible, whereas 21 < x < 32 contradicts x < 3, and you won't see such contradictions on the GMAT.

cheryl3007 wrote:
chocoswiss wrote:Is xy < 6?
(1) x < 3 and y < 2.
(2) 21< x <32 and y^2 < 6.

OA is B
I chose C. Pl help!

This is an incorrect version. From paper test, the 2nd statement should be: 1/2 < x < 2/3 and y^2 <6.
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